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What is the average age of the six member A, B, C, D, E and F in the family? I. Average age of D and E is 14 yr. II. Average age A, B, C and F is 50 yr. III. Average age of A, B, D and E is 40 yr.

I and II
I and III
II and III
I, II and III

Correct Answer: I and II

Explanation:

From Statement I,
D + E = 14 x 2 = 28
From Statement II,
A + B + C + D + E + F = 4 x 50 = 200
(A + B + C + D + E + F)/6 = 28 + 200/6
= 228/6 = 38
∴ Statement I and II are sufficient to answer the question.

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